77485152 has 96 divisors (see below), whose sum is σ = 210706272. Its totient is φ = 24920064.

The previous prime is 77485139. The next prime is 77485153. The reversal of 77485152 is 25158477.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (78400) is a multiple of the sum of its prime factors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 77485152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77485153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493458 + ... + 493614.

It is an arithmetic number, because the mean of its divisors is an integer number (2194857).

Almost surely, 2^77485152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77485152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105353136).

77485152 is an abundant number, since it is smaller than the sum of its proper divisors (133221120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77485152 is a wasteful number, since it uses less digits than its factorization.

77485152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 78400, while the sum is 39.

The square root of 77485152 is about 8802.5650807023. The cubic root of 77485152 is about 426.3237196449.

The spelling of 77485152 in words is "seventy-seven million, four hundred eighty-five thousand, one hundred fifty-two".